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Finding the Third Proportional to 593,478 and 1,319,634

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Solution

The third proportional to 593,478 and 1,319,634 is: 2,934,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,478 : 1,319,634 = 1,319,634 : x
  2. Step 2: Convert to fraction form
    593,478/1,319,634 = 1,319,634/x
  3. Step 3: Cross multiply
    593,478x = 1,319,634 × 1,319,634
  4. Step 4: Simplify right side
    593,478x = 1,741,433,893,956
  5. Step 5: Solve for x
    x = 1,741,433,893,956/593,478
  6. Step 6: Final answer
    x = 2,934,285.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.